Of the basic geometric shapes and is formed when two lines, line segments, or rays intersect at a common point. The common point is called the vertex of the angle, and the lines, line segments, or rays that form the angle are called the sides of the angle.

Angles are measured in degrees, with a full circle measuring 360 degrees. A right angle, which is formed when two lines or line segments intersect to form a square corner, measures 90 degrees. Angles can be classified based on their measurements as acute (less than 90 degrees), obtuse (more than 90 degrees but less than 180 degrees), straight (exactly 180 degrees), or reflex (more than 180 degrees but less than 360 degrees).

Angles have many practical applications in various fields, including mathematics, engineering, architecture, and physics. They are used to measure and describe the orientation, direction, and position of objects, as well as to calculate distances, areas, and volumes.

In addition to their geometric properties, angles can also be used to represent relationships, such as congruence (when two angles have the same measure) or supplementary (when two angles add up to 180 degrees). They can also be used to solve various types of problems, such as finding missing angles in triangles or quadrilaterals.

Overall, angles play a fundamental role in geometry and are essential for understanding and analyzing the properties and relationships of shapes and figures.